Home
Class 11
MATHS
Theorem: Matrix multiplication is associ...

Theorem: Matrix multiplication is associative, i.e., if conformability is assured for the matrices A, B and.C, then (AB)C = A(BC).

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES (EXERCISE -3( i))|4 Videos

  • MATHEMATICAL INDUCTION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise 2 (a)|15 Videos

  • PAIR OF STRAIGHT LINES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 4(c) III. |3 Videos

Similar Questions

Explore conceptually related problems

Theorem : Matrix multiplication, is distri-butive over matrix addition i.e.. If con-formability is assured for the matrices A, B .and C, then. i) A(B + C) = AB + AC ii) (B + C)A = BA + CA

If B an idempotent matrix and A=I-B then AB =

If A and B are two matrices for which conformability for multiplication is assured, then prove (AB)^(T) = B^(T)A^(T)

If D, E, F are the midpoints of BC, CA, AB of Delta ABC, then vec(A)D + vec(B)E + vec(C)F =

Let A,B,C be 3 xx3 non-sinigular matrices and I be the identity matrix of order three. If ABA=BA ^(2)B and A ^(3)=I, then AB^(4) - B^(4)A=

If a,b,c are in H.P and ab + bc ca = 15, then ca =

If A and B are symmetric matrices, prove that AB-BA is a skew symmetric matrix.

If a, b, c, d are in H.P then ab + bc + cd =

If AC = AB + BC then the points A , B , C are .......

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-MATRICES -SOLVED PROBLEMS
  1. Fiind the valueof x if: |{:(x-2, 2x-3, 3x-4),(x-4, 2x-9, 3x-16),(x-8...

    Text Solution

    |

  2. Find the Adjoint and Inverse of the matrix A = [(1,2),(3,-5)]

    Text Solution

    |

  3. Find the adjoint and the inverse of the matrix A=[{:(1,3,3),(1,4,3),(1...

    Text Solution

    |

  4. Show that the matrix A=[{:(1,2,1),(3,2,3),(1,1,2):}] is non-singular a...

    Text Solution

    |

  5. Find the rank of A=[{:(0,1,2),(1,2,3),(3,2,1):}] using elementary tran...

    Text Solution

    |

  6. Find the rank of A=[{:(1,2,0,-1),(3,4,1,2),(-2,3,2,5):}] using element...

    Text Solution

    |

  7. Apply the test of rank to examine whether the following equations are ...

    Text Solution

    |

  8. Solve the following system of equations by using Cramer,s ruel . 3x...

    Text Solution

    |

  9. Solve the equations 3x+4y+5z=18,2x+y+8z=13,5x-2y+7z=20 by matrix inver...

    Text Solution

    |

  10. Solve the following system of equations by using Cramer,s ruel . 3x...

    Text Solution

    |

  11. Solve the system of equations 2x+4y-z=0,x+2y+2z=5,3x+6y-7z=2 by Gauss ...

    Text Solution

    |

  12. Solve the following- system of equations, 2x + 5y + 6z = 0, x - 3y + 8...

    Text Solution

    |

  13. The number of nontrivial solutions of the system: x-y+z=0, x+2y=0, 2x+...

    Text Solution

    |

  14. Theorem: Matrix multiplication is associative, i.e., if conformability...

    Text Solution

    |

  15. Theorem : Matrix multiplication, is distri-butive over matrix addition...

    Text Solution

    |

  16. If A is any matrix, then: (A^(T))^(T) =A

    Text Solution

    |

  17. If A-and B are two matrices of same type, then (A+B)^(T) =A^(T) + B^(T...

    Text Solution

    |

  18. If A and B are two matrices for which conformability for multiplicatio...

    Text Solution

    |

  19. If A is an invertible matrix and A is also invertible then prove (A^(...

    Text Solution

    |

  20. A certain book shop has 10 dozen chemistry books, 8 dozen physics book...

    Text Solution

    |